DYNAMICS OF STRUCTURES BY TRANSFER MATRICES
Abstract
The method of transfer matrices is applied to the static and kinetic treatment of multicell-boxgirders. Such structures generally consist of a rectangular system of straight beams, which are interconnected by thin upper and lower coverplates. The substitute system is an orthogonal grid of spars and bulkheads to which at their crossing points torque boxes are hinged. The elements of the state vector, i.e. the deflection w, the slope phi, the bending moment M and the shear Q, are assembled for all spars at one boundary of the system in a single state vector. The transfer of these elements takes place over the entire width of the system through repeated multiplications of square matrices, which are set up for each section between successive bulkheads. The product of all transfer matrices interconnects the two state vectors at the two boundaries of the system. For the investigation of the natural vibration of the structure, the boundary conditions yield a system of homogeneous linear equations, the determinant of which is set equal to zero in order to obtain the frequency equation. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1961
- Accession Number
- AD0265039
Entities
People
- E. Pestel